Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates

Detalhes bibliográficos
Autor(a) principal: Giacometti, José A. [UNESP]
Data de Publicação: 2021
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/1806-9126-RBEF-2019-0140
http://hdl.handle.net/11449/213116
Resumo: A review on the Foucault pendulum motion is presented using Cartesian coordinates for the ideal case and for small amplitude of oscillations. The choice of referential frames, the formulation and solution of Newton’s differential equation for the non-inertial frame of the Earth and the validity of the approximations used to simplify the determination of the solution are given. Using the angular position of the trajectory cusps, a new method to determine the precession angular velocity of the Foucault pendulum is shown. The pendulum bob trajectories and velocities for the referential frame in rotation with the Earth as well as for the inertial frame are given and the Chevilliet theorem was demonstrated. In addition, the pendulum bob trajectories are shown when an initial velocity is impinged in the direction perpendicular to the pendulum oscillation plane.
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spelling Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinatesFoucault pendulumprecession velocityA review on the Foucault pendulum motion is presented using Cartesian coordinates for the ideal case and for small amplitude of oscillations. The choice of referential frames, the formulation and solution of Newton’s differential equation for the non-inertial frame of the Earth and the validity of the approximations used to simplify the determination of the solution are given. Using the angular position of the trajectory cusps, a new method to determine the precession angular velocity of the Foucault pendulum is shown. The pendulum bob trajectories and velocities for the referential frame in rotation with the Earth as well as for the inertial frame are given and the Chevilliet theorem was demonstrated. In addition, the pendulum bob trajectories are shown when an initial velocity is impinged in the direction perpendicular to the pendulum oscillation plane.Universidade de São Paulo, Instituto de Física de São CarlosUniversidade Estadual Paulista, Faculdade de Ciências e TecnologiaUniversidade Estadual Paulista, Faculdade de Ciências e TecnologiaSociedade Brasileira de FísicaUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Giacometti, José A. [UNESP]2021-07-14T10:50:17Z2021-07-14T10:50:17Z2021-02-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article-application/pdfhttp://dx.doi.org/10.1590/1806-9126-RBEF-2019-0140Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 43, p. -, 2021.1806-11171806-9126http://hdl.handle.net/11449/21311610.1590/1806-9126-RBEF-2019-0140S1806-11172021000100418S1806-11172021000100418.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRevista Brasileira de Ensino de Físicainfo:eu-repo/semantics/openAccess2024-06-19T12:44:40Zoai:repositorio.unesp.br:11449/213116Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:31:37.899878Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates
title Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates
spellingShingle Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates
Giacometti, José A. [UNESP]
Foucault pendulum
precession velocity
title_short Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates
title_full Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates
title_fullStr Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates
title_full_unstemmed Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates
title_sort Foucault pendulum revisited, the determination of precession angular velocity using Cartesian coordinates
author Giacometti, José A. [UNESP]
author_facet Giacometti, José A. [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Giacometti, José A. [UNESP]
dc.subject.por.fl_str_mv Foucault pendulum
precession velocity
topic Foucault pendulum
precession velocity
description A review on the Foucault pendulum motion is presented using Cartesian coordinates for the ideal case and for small amplitude of oscillations. The choice of referential frames, the formulation and solution of Newton’s differential equation for the non-inertial frame of the Earth and the validity of the approximations used to simplify the determination of the solution are given. Using the angular position of the trajectory cusps, a new method to determine the precession angular velocity of the Foucault pendulum is shown. The pendulum bob trajectories and velocities for the referential frame in rotation with the Earth as well as for the inertial frame are given and the Chevilliet theorem was demonstrated. In addition, the pendulum bob trajectories are shown when an initial velocity is impinged in the direction perpendicular to the pendulum oscillation plane.
publishDate 2021
dc.date.none.fl_str_mv 2021-07-14T10:50:17Z
2021-07-14T10:50:17Z
2021-02-03
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1590/1806-9126-RBEF-2019-0140
Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 43, p. -, 2021.
1806-1117
1806-9126
http://hdl.handle.net/11449/213116
10.1590/1806-9126-RBEF-2019-0140
S1806-11172021000100418
S1806-11172021000100418.pdf
url http://dx.doi.org/10.1590/1806-9126-RBEF-2019-0140
http://hdl.handle.net/11449/213116
identifier_str_mv Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 43, p. -, 2021.
1806-1117
1806-9126
10.1590/1806-9126-RBEF-2019-0140
S1806-11172021000100418
S1806-11172021000100418.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Revista Brasileira de Ensino de Física
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv -
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv SciELO
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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